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Finding the Third Proportional to 97,985.25 and 143,199

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Solution

The third proportional to 97,985.25 and 143,199 is: 209,275.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,985.25 : 143,199 = 143,199 : x
  2. Step 2: Convert to fraction form
    97,985.25/143,199 = 143,199/x
  3. Step 3: Cross multiply
    97,985.25x = 143,199 × 143,199
  4. Step 4: Simplify right side
    97,985.25x = 20,505,953,601
  5. Step 5: Solve for x
    x = 20,505,953,601/97,985.25
  6. Step 6: Final answer
    x = 209,275.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.